1. The 2006 General Social Survey contains information on the number of hours worked by a respondent each week. The mean number of hours worked per week is 39.04, with a standard deviation of 11.51. The sample size is 83.a. Estimate the value of the standard error.b.Calculate a 95 percent confidence interval for the mean number of hours worked per week with these data.c.Say we increased the sample size to 10,000 and found the same mean and standard deviation. What would be the standard error?d.If we increased the sample size to 10,000 what would be the 95% confidence interval for the mean number of hours worked per week?e.Write a sentence answering: How does increasing the sample size affect the width of the confidence interval?f. If we increased the sample size to10,000 what would be the 99% confidence interval for the mean number of hours worked per week?g.Write a sentence answering: How does changing the level of confidence from 95% to99% affect the width of the confidence interval? 1. The 2006 General Social Survey contains information on the number of hours worked by arespondent each week. The mean number of hours worked per week is 39.04, with a standarddeviation of 11.51. The sample size is 83.a. Estimate the value of the standard error.b. Calculate a 95 percent confidence interval for the mean number of hours worked perweek with these data.c. Say we increased the sample size to 10,000 and found the same mean and standarddeviation. What would be the standard error?d. If we increased the sample size to 10,000 what would be the 95% confidence intervalfor the mean number of hours worked per week?e. Write a sentence answering: How does increasing the sample size affect the width ofthe confidence interval?f. If we increased the sample size to 10,000 what would be the 99% confidence intervalfor the mean number of hours worked per week?g. Write a sentence answering: How does changing the level of confidence from 95% to99% affect the width of the confidence interval?

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MATLAB: An Introduction with Applications

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1. The 2006 General Social Survey contains information on the number of hours worked by a respondent each week. The mean number of hours worked per week is 39.04, with a standard deviation of 11.51. The sample size is 83.

a. Estimate the value of the standard error.

b.Calculate a 95 percent confidence interval for the mean number of hours worked per week with these data.

c.Say we increased the sample size to 10,000 and found the same mean and standard deviation. What would be the standard error?

d.If we increased the sample size to 10,000 what would be the 95% confidence interval for the mean number of hours worked per week?

e.Write a sentence answering: How does increasing the sample size affect the width of the confidence interval?

f. If we increased the sample size to10,000 what would be the 99% confidence interval for the mean number of hours worked per week?

g.Write a sentence answering: How does changing the level of confidence from 95% to

99% affect the width of the confidence interval?

1. The 2006 General Social Survey contains information on the number of hours worked by a
respondent each week. The mean number of hours worked per week is 39.04, with a standard
deviation of 11.51. The sample size is 83.
a. Estimate the value of the standard error.
b. Calculate a 95 percent confidence interval for the mean number of hours worked per
week with these data.
c. Say we increased the sample size to 10,000 and found the same mean and standard
deviation. What would be the standard error?
d. If we increased the sample size to 10,000 what would be the 95% confidence interval
for the mean number of hours worked per week?
e. Write a sentence answering: How does increasing the sample size affect the width of
the confidence interval?
f. If we increased the sample size to 10,000 what would be the 99% confidence interval
for the mean number of hours worked per week?
g. Write a sentence answering: How does changing the level of confidence from 95% to
99% affect the width of the confidence interval?

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